0.1 divided by 100 equals what?
When we divide a number by 100, it becomes 100 times less as though each of the digits in that number have a value that’s 100 times less. Let’s write 0.1 on this place value grid to remind ourselves what each digit is worth, zero once and one-tenth.
When we divide by 100, the digit in the ones column becomes 100 times less. A one split into 100 equals hundredths. So our digit zero shifts two places to the right from the ones column to the hundredths column. The one in our number represents one-tenth. 100 times smaller than one-tenth is one thousandth. And so we can see the digit one also moves two places to the right, one thousandth. Now all we need to do is to complete the number with zeros as placeholders, 0.001.
We found the answer by thinking about the place value in the number 0.1 and what happens to those digits when they divided by 100. When we divide by 100, the digits shift two places to the right. And so the one becomes worth one thousandth. And so we can also write the answer as a fraction, one thousandth.
0.1 divided by 100 equals 0.001.